1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DanielleElmas [232]
3 years ago
7

Find the area of the polygon defined by the coordinates (0,-5),(-5,0),(-15,-20),and(-20,-15)

Mathematics
1 answer:
alekssr [168]3 years ago
4 0

Area of the polygon defined by the given points is 62.5 sq units

Step-by-step explanation:

Step 1 :    

Let P be the point (-5,0)  Q = (0,-5), R = (-15,-20) and S = (20,-15)

We have to to find the area of the polygon PQRS

Step 2 :

The area of polygon given the vertices (x(x_{1} ,y_{1} ), (x_{2} ,y_{2})  ... (x_{n} ,y_{n} ) is given by

Area  = mod ( (x_{1} y_{2}  - y_{1}x_{2}) + (x_{2} y_{3}  - y_{2}x_{3}) + ... (x_{n} y_{1}  - y_{n}x_{1}) ) ÷ 2

Where  x_{n} is the vertex n's x coordinate , y_{n} is the vertex n's y coordinate

Substituting the corresponding values ,

Area of PQRS = mod ( (25 - 0)+ (0-75) +(300-300) +( 0-75)  ) ÷ 2

                       = mod (25-75+0-75) ÷ 2

                       = mod (-125) ÷ 2 = 125 ÷ 2 = 62.5 sq units

Step 3 :    

Answer :

Area of the polygon defined by the given points is 62.5 sq units

You might be interested in
A physical fitness association is including the mile run in its secondary school fitness test. The time for this event for boys
Ierofanga [76]

Answer:

A) 0.0107

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 440 seconds and a standard deviation of 40 seconds.

This means that \mu = 440, \sigma = 40

Find the probability that a randomly selected boy in secondary school can run the mile in less than 348 seconds.

This is the p-value of Z when X = 348. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{348 - 440}{40}

Z = -2.3

Z = -2.3 has a p-value of 0.0107, and thus, the correct answer is given by option A.

6 0
3 years ago
A house increased in value by 36 percent since it was purchased. If thw current value is 306000 what was the value when it was p
LenKa [72]
Answer: 30599.964
Because I did the math
4 0
3 years ago
FIND THE SLOPE of the line that passes through the points (1,-19) and (-2,-7). You do not need to write the whole equation
ra1l [238]

Answer:

Slope is -12

Step-by-step explanation:

change of y/change of x = -12

3 0
3 years ago
Read 2 more answers
A straight line has gradient -2 and passes through the point (-3 , 10).
Aleksandr-060686 [28]

Answer:

y = 4 - 2x

Step-by-step explanation:

That is the formula, in y = a + mx but it you want it in y = mx+c, it is y = -2x + 4

8 0
2 years ago
A car sold from a dealership is 25,700 if the sales person receives 1.5% commission on the price of the car how much commission
snow_tiger [21]

Answer:

385.50

Step-by-step explanation:

4 0
3 years ago
Other questions:
  • 600mm by 500mm oven tray how many 25cm trays can you fit on
    8·1 answer
  • Which representation shows y as a function of x?
    11·1 answer
  • The midpoint of AB is M(-1, -2). If the coordinates of A are (1,3), what are the
    12·1 answer
  • Solve for F. C= 5/9 (F-32)
    6·1 answer
  • What is 12.9 rounded to 1 decimal place
    11·1 answer
  • I NEED HELP PLEASE!!
    10·1 answer
  • Like the other qs I asked, I know this is alot but I really need help. I can admit I am terrible at math, like totally terible,
    8·1 answer
  • Which of the following represents the range of the graph below?​
    7·1 answer
  • The average petrol consumption of a vehicle is 1 gallon per 35 km. The cost of 1 litre of petrol is $49. Fund the cost of petrol
    5·1 answer
  • Ann deposited $4000into an account with 3.6% interest, compounded annually. Assuming that no withdrawals are made, how much will
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!